Writing Quadratic Functions in Intercept Form

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Presentation transcript:

Writing Quadratic Functions in Intercept Form 7.2 Part 2 Writing Quadratic Functions in Intercept Form

Example: Just like vertex form, find ____. Write a quadratic function for the parabola shown. SOLUTION Use intercept form because the x-intercepts are given. y = a(x – p)(x – q) Intercept form Find a. Rewrite equation with all values, leaving x and y as variables in the EQ. 1 2 – (x + 1)(x – 4) y =

GUIDED PRACTICE for Examples 1, 2 and 3 Write a quadratic function whose graph has the given characteristics. 1. vertex: (4, –5) passes through: (2, –1) y = (x – 4)2 – 5 2. vertex: (–3, 1) passes through: (0, –8) y = (x + 3)2 + 1 3. x-intercepts: –2, 5 passes through: (6, 2) 1 4 y = (x + 2)(x – 5)

Homework See Agenda